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G.1 deductive reasoning inductive reasoning conditional statement hypothesis conclusion set of premises truth value converse inverse contra-positive Law of syllogism Law of detachment symbolic form conjectures validity logical argument Venn diagrams reasoning justification proof inferences truth tables assumptions definitions postulates theorems G.2 distance formulas midpoint formula slope formula parallel lines perpendicular lines skew lines intersecting lines vertical lines point line plane ray segment symmetry line symmetry point symmetry axis of symmetry plane of symmetry Geometry – Essential Vocabulary G.2 (continued) transformation constructions translation reflection rotation dilation Pythagorean Theorem midpoint congruent endpoints tessellation scale factor pre-image image G.3 and G.4 lines angles intersect congruent similar supplementary angles complementary angles vertical angles supplement complement adjacent angles transversal interior angles exterior angles alternate interior angles alternate exterior angles corresponding angles consecutive interior angles consecutive exterior angles linear pair polygon convex vertex concave G.5 congruent triangles deductive proofs corresponding parts similar postulate theorem median altitude perpendicular bisectors hypotenuse leg acute angle acute triangle obtuse angle obtuse triangle right angle right triangle equiangular triangle equilateral triangle proportions ratio G.6 triangle inequalities G.7 geometric mean Pythagorean Triples Pythagorean Theorem sine cosine tangent radicals short leg long leg trigonometric ratio G.8 quadrilateral opposite sides opposite angles consecutive sides consecutive angles diagonals parallelogram bisect rectangle rhombus square trapezoid isosceles trapezoid base angles kite G.9 polygon regular polygon interior angles exterior angles concave convex circumscribe central angle radius consecutive vertices hexagon pentagon octagon decagon nonagon n-gon tessellations G.10 circle chord arc measure of arc length of arc secant central angle tangent inscribed angle diameter locus radius major arc minor arc circumference center of circle sector G.11 constructions line angle point ray protractor angle bisector segment bisector perpendicular bisector acute angle obtuse angle right angle straight angle complementary angles supplementary angles congruent angles G.12 net prism base polygon lateral faces lateral edges cylinder parallel planes altitude of a prism base plane pyramid height slant height cone vertex sphere equidistant scale drawing perspective drawing G.13 cylinder prism cone pyramid sphere lateral area surface area volume right prism right circular cylinder regular right pyramid right circular cone slant height G.14 scale factor area perimeter volume ratio proportion Geometry – Essential Vocabulary
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